angle y and angle x form vertical angles. Angle y forms a straight line with the 80 degree angle and the 60 degree angle. Write and solve an equation to determine the measure of angle x

Answers

Answer 1

Answer: If angle y and angle x form vertical angles, then they ARE vertical angles. Vertical angles have the SAME degree measure. If angle y forms a straight line with the 80 degree angle and the 60 degree angle, this means that adding angle y, the 80 degree angle, and the 60 degree angle gives you a straight line. A line is 180 degrees. So, angle y's measure=180-(80+60). Since measure of angle x equals measure of angle y, the equation is m<x=180-(80+60).

Let's solve. m<x=180-(80+60). m<x=180-140. m<x=40 degrees.

Answer: m<x=180-(80+60); m<x=40 (degrees)

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Use successive differences to classify the function represented in the table as linear, quadratic, cubic or other. Show all your work. x –3 –2 –1 0 1 2 3 g(x) –29 –10 –3 –2 –1 6 25

Answers

Answer: The function shows by the table is cubic function.

Explanation: Since, the given values of the function are

f(x): –29 –10 –3 –2 –1 6 25

First difference: 19 7 1 1 7 19

Second difference: -12 -6 0 6 12

Third difference: 6 6 6 6

Since, here, the value in third difference is repeating to 6. Therefore, according to the definition of successive difference, equation must have three degree. So, it is a cubic equation.

Enter two fractions that are greater than 1/4 and less than 1.

Answers

1/2 and 3/4 those are greater then 1/4 and less then 1

1/2 and 3/4 are greater than 1/4.

Maria is enclosing a triangular pen with wire fencing. Two sides of the pen measure 14 ft and 8 ft in length. Which inequality describes the possible length. A. 14> x > 8
B. 22>x> 6
C. 8< x < 14
D. 6 < x < 22

Answers

Answer:

D. 6 < x < 22

Step-by-step explanation:

For a triangle, the third side must be less than the sum of the other two sides and it must greater than the difference between the other two sides.

Final answer:

The possible length of the third side of the triangular pen, given the Triangle Inequality Theorem and two given side measures, is best described by the inequality D. 6 < x < 22.

Explanation:

To find the possible length of the third side of a triangle, we use the Triangle Inequality Theorem. The theorem states that the length of any side of a triangle is less than the sum of the lengths of the other two sides and greater than the absolute difference of the lengths of the other two sides. Here, we have the lengths of two sides as 14 ft and 8 ft.

So the sum of these two sides is 14 + 8 = 22 ft. The difference is |14 - 8| = 6 ft. Therefore, the length of the third side 'x' can range between the sum and the difference of the other two sides. Hence, the correct answer is D. 6 < x < 22.

Learn more about Triangle Inequality Theorem here:

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In the following number, which digit is in the hundredths place?

745312.269784

Answers

Answer:

The second number after the decimal point- the 6

Answer:

6 is in the hundreths place

Step-by-step explanation:

After the decimal point it goes tenths, hundredths, thousandths, ten thousandths, and so on.

I need help understanding this homework. I am totally lost. It says Solve the problem, show your work and PQPA your answer. My daughter has to turn this paper in tomorrow morning.

Answers

Step-by-step explanation:

I'm guessing that "PQPA" means like Problem Question, Problem Answer (so what you are trying to find, and what it is (I think)).

That means the first problem is (3/4)+(7/8) = 13/8 and "How much water is collected in two hours?"

This means the second problem is (2 1/3) - (1 3/4) = (7/3)-(7/4) = 7/12 and "How many pounds of beef are left"

This means the third problem is (1 -(1/6))(2/5) = (5/6)(2/5) = 1/3 and "What fraction of her paycheck is saved"

This means that the fourth problem is (3/4)(2/3) = 1/2 and "How long did it take Megan to do her HW?"

If f(x) = 2(x)^2 + 5 square root (x+2), complete the following statement (round your answer to the nearest hundredth): f(2) =

Answers

$f(x) = 2(x)^(2) +5 √(x+2)$

$f(2) = 2(2)^(2) + 5 √((2)+2)$

$f(2) = 2(4) + 5√(4)$

$f(2) = 8 + 5(2)$

$f(2)= 8+10$

f(2) = 18

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